Free AH Maths of Mechanics

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Study at Advanced Higher Maths level will provide excellent preparation for your studies when at university. Some universities may require you to gain a pass at AH Maths to be accepted onto the course of your choice. The AH Maths course is fast paced so please do your very best to keep on top of your studies.

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Please find below:

1. AH Mechanics Past Papers

2. AH Maths of Mechanics – Homework & Solutions 

3. AH Maths of Mechanics Theory Guides/Support Notes

4. List of Topics by Unit 

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AH Maths of Mechanics Resources

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1. AH Maths of Mechanics Past Papers

Thanks to the SQA and Mr M Pitman for making available the excellent worked solutions below.

Year
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Exam Type
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Exam Paper
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Marking Scheme
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Worked Solutions - Courtesy M Pitman
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2022AH Maths of MechanicsExam PaperMarking Scheme
2019AH Maths of MechanicsExam PaperMarking SchemeWorked Solutions
2018AH Maths of MechanicsExam PaperMarking SchemeWorked Solutions
2017AH Maths of MechanicsExam Paper Marking SchemeWorked Solutions
2016AH Maths of MechanicsExam PaperMarking SchemeWorked Solutions
2015AH Maths of Mechanics - SpecimenPractice PaperMarking Scheme on Paper
2015AH Maths of Mechanics - ExemplarPractice PaperMarking Scheme on Paper
2015AH Applied Mathematics (Mechanics) 2015 AH ExamMarking SchemeWorked Solutions
2014AH Applied Mathematics (Mechanics) 2014 AH ExamMarking SchemeWorked Solutions
2013AH Applied Mathematics (Mechanics) 2013 AH ExamMarking SchemeWorked Solutions
2012AH Applied Mathematics (Mechanics) 2012 AH ExamMarking SchemeWorked Solutions
2011AH Applied Mathematics (Mechanics) 2011 AH ExamMarking SchemeWorked Solutions
2010AH Applied Mathematics (Mechanics) 2010 AH ExamMarkingSchemeWorked Solutions
2009AH Applied Mathematics (Mechanics) 2009 AH ExamMarking SchemeWorked Solutions
2008AH Applied Mathematics (Mechanics) 2008 AH ExamMarking SchemeWorked Solutions
2007AH Applied Mathematics (Mechanics) 2007 AH ExamMarking SchemeWorked Solutions
2006AH Applied Mathematics (Mechanics) 2006 AH ExamMarking SchemeWorked Solutions
2005AH Applied Mathematics (Mechanics) 2005 AH ExamMarking SchemeWorked Solutions
2004AH Applied Mathematics (Mechanics) 2004 AH ExamMarking SchemeWorked Solutions
2003AH Applied Mathematics (Mechanics) 2003 AH ExamMarking Scheme

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2. AH Maths of Mechanics – Homework & Solutions

Thanks to the SQA and author (Madras College) for making available the excellent homework exercises below.

The exercises can also be used for revision.

Homework
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Link
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Solutions
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Homework 1Homework 1Solutions
Homework 2Homework 2Solutions
Homework 3Homework 3Solutions
Homework 4Homework 4Solutions
Homework 5Homework 5Solutions
Homework 6Homework 6Solutions
Homework 7Homework 7Solutions
Homework 8Homework 8Solutions
Homework 9Homework 9Solutions
Homework 10Homework 10Solutions
Homework 11Homework 11Solutions
Homework 12Homework 12Solutions
Homework 13Homework 13Solutions
Homework 14Homework 14Solutions
Homework 15Homework 15Solutions
Homework 16Homework 16
Homework 17Homework 17Solutions
Homework 18Homework 18Solutions
Homework 19Homework 19Solutions

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2. AH Maths of Mechanics Theory Guides/Support Notes

Thanks to the SQA and M. Patel for making available the excellent support notes and Theory Guides below.

Details
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Link
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Course Specification (April 2015, Version 2.0)HERE
Course and Unit Support Notes (May 2016, Version 2.2)HERE
Course Assessment Specification (April 2016, Version 2.4)HERE
Unit Specification, Force, Energy and Periodic Motion (April 2015, Version 2.0)HERE
Unit Specification, Linear and Parabolic Motion (April 2015, Version 2.0)HERE
Unit Specification, Mathematical Techniques for Mechanics (April 2015, Version 2.0)HERE
Question Paper Brief (March 2016, Version 1.1)HERE
Specimen Question PaperHERE
Exemplar Question PaperHERE
Theory Guide/Support Notes 1HERE
Theory Guide/Support Notes 2HERE
Theory Guide/Support Notes 3HERE
001 - Rectilinear Motion (Displacement, Velocity and Acceleration)HERE
002 - Graphs and Equations of MotionHERE
003 - Vector FunctionsHERE
004 - Relative MotionHERE
005 - Closest Approach and Collision ProblemsHERE
006 - Projectile MotionHERE
007 - Newton's Laws, Free-Body Diagrams and EquilibriumHERE
008 - FrictionHERE
009 - Circular Motion TheoryHERE
010 - Centripetal Motion and FrictionHERE
011 - Central Forces and Banked Circular MotionHERE
012 - The Conical PendulumHERE
013 - GravitationHERE
014 - Simple Harmonic Motion (SHM)HERE
015 - Hooke's LawHERE

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4. List of Topics by Unit

Applied Mathematics Advanced Higher – Mechanics:  Unit 1

• Kinematics in a straight line
• Kinematics in three dimensions, including relative motion.
• Projectile motion
• Force and Newton’s laws of motion

Applied Mathematics Advanced Higher – Mechanics:  Unit 2

• Circular motion
• Simple harmonic motion
• Momentum and impulse
• Work, energy and power
• Rectilinear motion using differential equations

Advanced Higher Mathematics for Applied Mathematics Unit 3

• Algebraic operations
• Matrix algebra
• Differentiation
• Integration
• Differential Equations

 

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